92 citations · 389 across the 26 of their papers we have counts for
28 papers
Classical freeness of at level via combinatorics
Shashank Kanade
We use a family of Rogers--Ramanujan-type combinatorial identities of Dousse--Konan involving coloured partitions to prove classical freeness of the simple vertex operator algebras…
Tight cylindric partitions
Shashank Kanade, Matthew C. Russell
In this note, we initiate the study of generating functions for tight cylindric partitions. For general (i.e., -rowed for ) tight cylindric partitions, we provide analo…
Bailey Pairs and an Identity of Chern-Li-Stanton-Xue-Yee
Shashank Kanade, Jeremy Lovejoy
We show how Bailey pairs can be used to give a simple proof of an identity of Chern, Li, Stanton, Xue, and Yee. The same method yields a number of related identities as well as fal…
Remarks on the conjectures of Capparelli, Meurman, Primc and Primc
Shashank Kanade, Matthew C. Russell, Shunsuke Tsuchioka +1
In a series of two papers, S. Capparelli, A. Meurman, A. Primc, M. Primc (CMPP) and then M. Primc put forth three remarkable sets of conjectures, stating that the generating functi…
Coloured invariants of torus knots, algebras, and relative asymptotic weight multiplicities
Shashank Kanade
We study coloured invariants of torus knots (where are coprime positive integers). When the colouring Lie algebra is simply-laced, and when , we u…
Characters of logarithmic vertex operator algebras and coloured invariants of torus links
Shashank Kanade
We show that the characters of versions of the singlet and the triplet VOAs arise as limits of appropriately coloured Jones inva…